6542689061376 has 320 divisors, whose sum is σ = 20865417027840. Its totient is φ = 2012281159680.

The previous prime is 6542689061329. The next prime is 6542689061453. The reversal of 6542689061376 is 6731609862456.

6542689061376 is a `hidden beast` number, since 6 + 5 + 4 + 2 + 6 + 8 + 9 + 0 + 613 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521697666 + ... + 521710206.

It is an arithmetic number, because the mean of its divisors is an integer number (65204428212).

It is a 1-persistent number, because it is pandigital, but 2⋅6542689061376 = 13085378122752 is not.

Almost surely, 2^{6542689061376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6542689061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432708513920).

6542689061376 is an abundant number, since it is smaller than the sum of its proper divisors (14322727966464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6542689061376 is a wasteful number, since it uses less digits than its factorization.

6542689061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15484 (or 15462 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6542689061376 in words is "six trillion, five hundred forty-two billion, six hundred eighty-nine million, sixty-one thousand, three hundred seventy-six".